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Finding the Third Proportional to 149,265 and 315,378

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Solution

The third proportional to 149,265 and 315,378 is: 666,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,265 : 315,378 = 315,378 : x
  2. Step 2: Convert to fraction form
    149,265/315,378 = 315,378/x
  3. Step 3: Cross multiply
    149,265x = 315,378 × 315,378
  4. Step 4: Simplify right side
    149,265x = 99,463,282,884
  5. Step 5: Solve for x
    x = 99,463,282,884/149,265
  6. Step 6: Final answer
    x = 666,353.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.